On Commuting Automorphisms of Some Finite p-Groups

Let G be a group and Aut( G ) be its automorphism group. An automorphism α of G is called a commuting automorphism if α(x)x = xα(x) for all x ∈ G . The set of all commuting automorphisms of G is denoted by A(G) . We find some cases when A(G) is a subgroup of Aut( G ).

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Veröffentlicht in:	Mathematical Notes 2020-03, Vol.107 (3-4), p.525-528
Hauptverfasser:	Garg, R., Gumber, D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Automorphisms Commuting Mathematics Mathematics and Statistics Short Communications Subgroups
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Beschreibung
Zusammenfassung:	Let G be a group and Aut( G ) be its automorphism group. An automorphism α of G is called a commuting automorphism if α(x)x = xα(x) for all x ∈ G . The set of all commuting automorphisms of G is denoted by A(G) . We find some cases when A(G) is a subgroup of Aut( G ).
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S0001434620030177